2625042000 has 160 divisors (see below), whose sum is σ = 9672309504. Its totient is φ = 600000000.

The previous prime is 2625041999. The next prime is 2625042019. The reversal of 2625042000 is 2405262.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10750 + ... + 73250.

Almost surely, 2^2625042000 is an apocalyptic number.

2625042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2625042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836154752).

2625042000 is an abundant number, since it is smaller than the sum of its proper divisors (7047267504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2625042000 is a wasteful number, since it uses less digits than its factorization.

2625042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62534 (or 62518 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2625042000 is about 51235.1637061891. The cubic root of 2625042000 is about 1379.4694452825.

Adding to 2625042000 its reverse (2405262), we get a palindrome (2627447262).

The spelling of 2625042000 in words is "two billion, six hundred twenty-five million, forty-two thousand".